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3 years ago

Determine whether the equation represents a direct variation. If it does, find the constant of variation. 2y=5x+1

Mathematics

2 answers:

igor_vitrenko [27]3 years ago

8 0

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form $y/x=k$ or $y=kx$

In a direct variation the equation of the line passes through the origin

In this problem we have

$2y=5x+1$ ----> this line not passes through the origin

therefore

The answer is

the equation does not represent a direct variation

coldgirl [10]3 years ago

6 0

It does represent a direct variation.

Direct variation: y = kx
y varies directly with x

Your equation 2y = 5x + 1 is in the form of y = kx but we need to divide out the 2 from 2y so we have the following
2y = 5x + 1
2y / 2 = 5 x/ 2 + 1/2
y = 5x / 2 + 1/2
y = kx
k = 5/2
k = constant of variation = 5/2

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Name the sets of numbers to which 7/9 belongs

tia_tia [17]

Answer:

OK.

the sets are

natural numbers (or counting numbers), this is like 1,2,3,4,5 etc

whole numbers, this is including 0, so 0,1,2,3,4,5,6 etc

integers, this includes the previoius set and negatives, so -3,-2,-1,0,1,2,3,4,5 etc

rational numbers, this is the set of numbers that can be written in form a/b where b≠0, so all integers can be written like this, like example -3=-3/1, so -7/9 belongs here

-7/9 goes in the rational set

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3 years ago

HELP ILL GIVE 10 POINTS (LOOK AT SCREENSHOT BELOW)

NeX [460]

Answer: 9/196

process:

3/14^2

3/14 • 3/14

9/196

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3 years ago

Determine the value of "a" for which g(h(a)) = 13

kykrilka [37]

Answer:

a = 6

Step-by-step explanation:

g(x) = 5x - 2

h(x) = √(x + 3)

g(h(x)) = 5 $\sqrt{x+3}$ - 2

g(h(a)) = 5 $\sqrt{a+3}$ - 2

5 $\sqrt{a+3}$ - 2 = 13

5 $\sqrt{a+3}$ = 15

$\sqrt{a+3}$ = 3

( $\sqrt{a+3}$ )² = 3²

a + 3 = 9

a = 6

5 0

2 years ago

Cecilia bought a new car the total amount she needs to borrow is 29542 she plans to take out 4 years loan at an APR of 6.3/ what

Naddika [18.5K]

Answer:

697.87

Step-by-step explanation:

You are looking for the monthly payment (PMT) on a loan (borrow = loan).

This is the formula you would use for installment loans (loan payment)

PVA = PMT [(1 - (1+APR/n)^-nY)/APR/n]

NOTE:

PMT = regular payment amount = ?

PVA = starting loan principal (amount borrowed) = 29542

APR = annual percentage rate (as a decimal) = 0.063

n = number of payment periods per year (they told you that it is monthly, so n =12)

Y = loan term in years (can be a fraction) = 4

NOTE: a helpful tip is so start with the original formula and rearrange it to make what you are looking for the subject of the formula.

We're solving for the monthly payment. So rearrange the formula:

PVA = PMT [(1 - (1+APR/n)^-nY)/APR/n]

PMT = [PVA (APR/n)]/(1 - (1+APR/n)^-nY)

PMT = [29542 (0.063/12)] / (1 - (1+ 0.063/12)^-12x4)

∴ PMT = 697.8653...

Round off the answer to as many decimal places as instructed by your lecturer/teacher.

Here we have rounded off to 2 decimal places:

∴ PMT = 697.87

8 0

4 years ago

Purchased a book rs 500 sold 20%profit find its actual profit and sel ling price

umka2103 [35]

Answer:

Selling price=rs.600.

Profit of rs=100.

Step-by-step explanation:

C.P=500; profit%=20%

S.P.=100+profit%×C.P/100

S.P=120×500/100

=rs.600

S.P>C.P

Profit S.P-C.P

600-500=100

he gained for rs.100.

7 0

3 years ago